The use of Zipf's law in animal communication analysis

@article{Suzuki2005TheUO,
  title={The use of Zipf's law in animal communication analysis},
  author={Ryuji Suzuki and John R. Buck and Peter Lloyd Tyack},
  journal={Animal Behaviour},
  year={2005},
  volume={69},
  pages={F9-F17}
}

Figures from this paper

Shannon entropy as a robust estimator of Zipf's Law in animal vocal communication repertoires
TLDR
The approach for the first time reveals Zipf's law operating in the vocal systems of multiple lineages: songbirds, hyraxes and cetaceans.
Zipf's law from a communicative phase transition
TLDR
It is supported that Zipf's law in a communication system may maximize the information transfer under constraints and be specially suitable for the speech of schizophrenics.
The span of correlations in dolphin whistle sequences
TLDR
It is shown that statistically significant whistle–whistle correlations extend back to the second previous whistle in the sequence, using a global randomization test, and to the fourth previous whistle,Using a localrandomization test.
The variation of Zipf's law in human language
TLDR
It is shown that the higher the importance of satisfying the goal of communication, thehigher the exponent, which means that only a particular range of exponents should be found in human speakers.
The Law of Brevity in Macaque Vocal Communication is not an Artefact of Analysing Mean Call Durations∗
TLDR
It is shown that the negative correlation between mean duration and frequency of use in the vocalizations of Formosan macaques is not an artefact of the use of a mean duration for each call type instead of the customary ‘word’ length of studies of the law in human language.
Entropy rate as a measure of animal vocal complexity
TLDR
The use of an alternative information-theoretic measure, the Markov entropy rate, which quantifies the diversity of transitions in a vocal sequence, and thus is capable of distinguishing sequences with syntactic structure from those generated by random, statistically independent processes is demonstrated.
Complexity in Animal Communication: Estimating the Size of N-Gram Structures
TLDR
Using the conditional entropy estimates at multiple orders to estimate the total repertoire sizes for animal communication across bottlenose dolphins, humpback whales and several species of birds for an N-gram length of one to three gives a more accurate picture of the most frequently used repertoire than just repertoire size alone.
The global minima of the communicative energy of natural communication systems
TLDR
It is proved that the emergence of Zipf's law using a Monte Carlo technique at zero temperature in previous studies indicates that the system had not reached the global optimum and is derived analytically the globally optimal communication systems that result from the interaction between these factors.
...
...

References

SHOWING 1-10 OF 44 REFERENCES
Quantitative tools for comparing animal communication systems: information theory applied to bottlenose dolphin whistle repertoires
TLDR
The original application of information theory to the field of animal communication is re-examine, its potential utility as a comparative tool for examining the internal informational structure of animal vocal repertoires and their development is illustrated, and its relationship to behavioural ecology and evolutionary theory is discussed.
Least effort and the origins of scaling in human language
  • R. F. Cancho, R. Solé
  • Physics
    Proceedings of the National Academy of Sciences of the United States of America
  • 2003
TLDR
This article explains how language evolution can take advantage of a communicative phase transition and suggests that Zipf's law is a hallmark of symbolic reference and not a meaningless feature.
Zipf's law is not a consequence of the central limit theorem
It has been observed that the rank statistics of string frequencies of many symbolic systems (e.g., word frequencies of natural languages) follows Zipf's law in good approximation. We show that,
The ‘chick-a-dee’ calls of Parus atricapillus: A recombinant system of animal communication compared with written English
TLDR
The chickadee system is described and some of its similarities to and differences from written English are explored and the principle that the 'message' plus contextual information yields the 'meaning' taken by the receiver is illustrated.
Zipf's Law and Random Texts
TLDR
It is shown that real texts fill the lexical spectrum much more efficiently and regardless of the word length, suggesting that the meaningfulness of Zipf's law is high.
Describing Sequences of Behavior
TLDR
It is suggested that first-order transition analysis and correlative techniques are the best current methods for examining sequences of behavior and the search for higher-order dependencies is useful only in stationary data, where grouping of acts due to changing causal factors can be assumed to be unimportant.
No signs of hidden language in noncoding DNA.
TLDR
It is argued that greater variance amo nucleotide frequencies in noncoding regions explain m of the observations, which undercuts the claims in [1], and can be shown that correlations of finite rang r imply an increasing Rsnd even forn .
Perceptual mechanisms for individual vocal recognition in European starlings,Sturnus vulgaris
TLDR
It is concluded that European starlings are capable of individual vocal recognition, and that this process is mediated by mechanisms involving the memorization of individually specific song types, the sequential ordering of song types within different bouts of an individual, and perhaps by individually specific spectral (or voice) characteristics that generalize across song types.
An Introduction To Probability Theory And Its Applications
TLDR
A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
Finitary models of language users
TLDR
It is proposed to describe talkers and listeners to describe the users of language rather than the language itself, just as the authors' knowledge of arithmetic is not merely the collection of their arithmetic responses, habits, or dispositions.
...
...